if r < 2, d. f(r)= a - 2 -4 if r 2 2.

Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: Let f(x, y) = \/125 – 2x? – 3y? - Evaluate f(3, 2)

A:

Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

A:

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s (x) = 2x? t (x)…

A:

Q: (b) Use the chain rule to show that if g is differentiable and g(x) # 0 then -d (æ) 9(x)?² %3D

A:

Q: Gordon and Tess are trying to determine whether AABC and AFGE can be proven congruent through rigid…

A: From the given graph we can see that, if the coordinates of vertices in triangle ABC is (x,y) then…

Q: Which of the following sets are equal? A = {0, 1, 2} B = {x E R|-1<x< 3} C = {xE R|-1<x<3} D = {xE…

A: Given:

Q: We must have xo and x1 satisfying f(xo) f(x1) < 0 in order to apply the False Position method.…

A:

Q: Which of the following sets are equal? A = {0, 1, 2} B = {xE R| –1<x<3} C = {x E R|-1 <x< 3} D = {x€…

A: first we convert the given roster notation to set or interval notation then compare. ℝ=(-∞,…

Q: Which of the following would represent an approximation of R(51) using information from R'(x) R(51)…

A: Given query is to find correct option for. R (51).

Q: (d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

A:

Q: Let x and y be postive numbers such that x+2y=50. Fing the values of x and y that make the quantity…

A: Here we will use the concept of maxima and minima to solve this question

Q: Q3/ By using definition, proof that cot x = - csc² x. xp

A:

Q: e. If f (x) = (4x² + 2)m and g(x) = "Vx + 1. Find gof (x)? (Hint: m is last digit of your college…

A: We plug m=9 in both f(x) and g(x)

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

A:

Q: . For each a e R, and V b > 0, Ja| = b if and only if a = ±b. Using this fact or therwise find the…

A:

Q: If possible make an explicit bijection from [0, 1] to [-2, -∞. If no possible, Why? If…

A:

Q: Express the set W = {p|p 3} using interval notation. Use "U" for or. PE

A: Consider the set  W={p| p≤-2 or p&gt;3}

Q: Write a paragraph proof to show that ZABF is complementary to ZEBD. F D. A B

A: Fiɡure in which ∠ABF= x°, ∠FBE = x°, ∠EBD=y°, ∠DBC=y° To write a paragraph proof to show that ∠ABF…

Q: ET If Fx) xf(xf(x))), where f(1) - 2, f(2) 3, f '(1) 3, f '(2) 4, and f (3) 5, find F (1). Need…

A: The given function is F(x) = f ( x f (x f (x))). Differentiate the function F(x) = f ( x f (x f (x))…

Q: If f(x) = -7e*, th %3D

A:

Q: Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O…

A:

Q: 2 - Given that f(x) = (x)6 pue 2x + 1 find (gof)(x) and determine the domain of (go f)(x).

A:

Q: Which of the following would represent an approximation of R(51) using information from R'(x)? O…

A: In the question it is asked to write the approximation of R(51) using information from R'(x).

Q: Let f(x,y) = 2* + 6xy, find f(0, – 3), f(– 3,2), and f(3,2).

A:

Q: Srena +C, then f (x)%3D x3 If A) True B) False

A:

Q: 3. Classify each type of discontinuity. y = = {; +2 ift20 b. g(t) St if t < 0 %3D

A:

Q: the definition, find th tive of f(z) = 3 z4-6 z²

A:

Q: Perform the indicated operation.  show work and write the restrictions.  1. 3x3/ 6y2⋅4y5 / 7x4  2.…

A:

Q: Let (x, Y, z) = In (z - vx² + y? ). (a) Evaluate f(3, -4, 8). In(s - V3? + (-4)² ) (b) Find the…

A: we know domain of ln(x) is set all x for which x&gt;0.

Q: If-fa x> Find aud the foloming Find and SlaphAy the Following FCW-2)

A: Given that: f(x)=x+7

Q: Which of the following is the domain set of the function f(x,y)= arcos(x² +y² -3)+In(x² +y² -3) ?…

A: Solution

Q: If f"(5) = 0, then (5, f(5)) is an inflection point %3D O a. True O b. False

A: As you have asked multiple questions, we will answer the first question only. If you need the answer…

Q: Let X1,X, f(r;0), where Or-1, 00 0, f(r;0) = elsewhere.

A: Given information: Let X1, X2, …, Xn is a random sample of size n taken from a probability…

Q: The function f(x) = is Lipshitz on ]0, ∞[. 4 %3D False True

A:

Q: Which of the follow that apply.

A:

Q: Find a and b so that the function 7x3 – 3x? + 8, x -2 f(x) = ax + b, is both continuous and…

A: To Determine: find a and b if f(x) is both continuous and differentiable. Given: we have…

Q: - g(x) = \x – 9 – x, evaluate at x = 10, 9, 11, and 12 %3D

A: Given g(x)=√(x-9) - x  And we have to evaluate g(x) at x=10,9,11,12

Q: The points defined by the relation x2 - y2 = 1 are symmetric across which of the following? Select…

A:

Q: For two sets X = {-2,0,1},Y = {-4,5,6}, if f (x) = a +i4 a bijective (i.e both injective and…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Write any formulas that can be derived using S- and I-rules. If nothing follows, write "nil". ((Z •…

A: Given,Z·~P⊃~FF

Q: Use the given graph of f(x) = Vx to find a number ô such that %3D if Ix - 4| < ô then Vx - 2 < 0.4.…

A:

Q: Express the set W = {q|q 6} using interval notation. Use "U" for or. qE

A: Express the set W=q/q≤-1 or q&gt;6 using interval notation.Use ''U'' for or .

Q: 2. If f(2) = e*, describe the images under f(2) of horizontal and vertical lines, i.e. what are the…

A:

Q: If the function f:R → R given by f(x) =x³+ax²+bx+5sin*is an increeasing function , Find the…

A: if F(x) is increasing function, then F'(x) must be greater than 0. So from that, we will solve this…

Q: A translation was given by the rule: (x. )-(x-4. 7A point mapped with this rule would have an image…

A: We have to find the rule

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is…

A: topic -  homogenous funtion

Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

A:

Q: bunluate 1F) Hhe Line y Vorlally ) the real ans to 2 then to 217

A:

Q: recall the definition of |A|=|B| for sets A and B and use that to show  |N|=|{ n/2 : n∈ Z}|  no…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.